Trigonometry

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Trigonometry

3D Trigonometry

To solve problems involving trigonomety in 3D shapes students are taught to identify 2D right-angled triangles a...

Cosine Rule – Finding Angles

Students learn how to derive and apply the Cosine Rule to find missing angles in triangles.  As learning progres...

Cosine Rule – Finding Lengths

Students learn how to derive and apply the Cosine rule to find missing lengths in triangles.  As learning progre...

Exact Trigonometric Solutions

Students learn how to solve trigonometrical equations with exact solutions using special triangles.   As learnin...

Pythagoras’ Theorem – Finding the Hypotenuse

Students learn how to derive and apply Pythagoras' Theorem to find the hypotenuse of right-angled triangles.  A...

Pythagoras’ Theorem – Shorter Sides

Students learn how to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.  As learni...

Introducing Pythagoras’ Theorem

Students discover Pythagoras’ Theorem through construction of Pythagorean triples.  As learning progresses stude...

Sine Rule

Students learn how to derive and apply the Sine rule to find missing angle in triangular shapes.  As learning pr...

Trigonometry – Angles in Right-Angled Triangles

Students learn how to apply Sin, Cos and Tan to find missing angles in right-angled triangles.  As learning prog...

Trigonometry – Area of Triangles

Students learn how to derive and apply the area formulae for non-right-angles.  As learning progresses they are ...

Trigonometrical Graphs

Students learn how to plot and read from trigonometrical graphs between 0 to 360°.  As learning progresses they ...

Trigonometry Introduction

Students discover the three trigonometric ratios Sin, Cos and Tan through constructions.  As learning progresses...

Trigonometry – Lengths in Right-Angled Triangles

Students learn how to calculate unknown lengths in right-angled triangles using Sin, Cos and Tan.  As learning p...

Trigonometry – Problems with Right-Angled Triangles

Students learn how to calculate unknown lengths and angles in right-angled triangles using Sin, Cos and Tan.  As...

Mr Mathematics Blog

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]